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Finding the Fourth Proportional to 82,951.50, 114,382.62 and 56,047.32

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Solution

The fourth proportional to 82,951.50, 114,382.62 and 56,047.32 is: 77,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,951.50 : 114,382.62 = 56,047.32 : x
  2. Step 2: Convert to fraction form
    82,951.50/114,382.62 = 56,047.32/x
  3. Step 3: Cross multiply
    82,951.50x = 114,382.62 × 56,047.32
  4. Step 4: Simplify right side
    82,951.50x = 6,410,839,305.58
  5. Step 5: Solve for x
    x = 6,410,839,305.58/82,951.50
  6. Step 6: Final answer
    x = 77,284.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.